Complete Question
The complete question is shown on the first uploaded image
Answer:
The line is 
Step-by-step explanation:
From the question we are told that
The line is 
The point is P(0,0 )
Generally the equation for a line is 
Now comparing this with the given equation we see that
Generally the slope of the perpendicular to the given line is mathematically evaluated as
=> 
=> 
Generally from the univesal equation of a line and the given point we have that
y = mx + c at p(0,0) and 
is
0 = -4 (0 ) + c
=> c = 0
Hence the equation perpendicular to the line given at the point given is
X*y=72
x = 5y-2
x=72/y
72/y=5y-2
72=5y^2-2y
5y^2 -2y - 72 = 0
(5y+18)(y-4)=0
y = -18/5 discard
or y = 4
4x=72
x=18
(18,4)
49 is a square of 7 and 4 is a square of 2. To get 45 you need to subtract 7² and 2². Therefore, its the difference of squares.
Answer:
x = 13
Step-by-step explanation:
Given that Δ NML and Δ PST are similar right triangles, we can set up the following proportional statement to establish their relationship:
Cross multiply:
8(x + 2) = 10 (x - 1)
8x + 16 = 10x - 10
Subtract 8x from both sides:
8x - 8x + 16 = 10x - 8x - 10
16 = 2x - 10
Add 10 to both sides:
16 + 10 = 2x - 10 + 10
26 = 2x
Divide both sides by 2:
13 = x
Verify whether x = 13 is the correct value:
This shows the proportional relationship between , and that ΔNML and ΔPST are indeed similar right triangles.
Therefore, the correct answer is x = 13.
